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Finding the Third Proportional to 53,424 and 117,512

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Solution

The third proportional to 53,424 and 117,512 is: 258,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,424 : 117,512 = 117,512 : x
  2. Step 2: Convert to fraction form
    53,424/117,512 = 117,512/x
  3. Step 3: Cross multiply
    53,424x = 117,512 × 117,512
  4. Step 4: Simplify right side
    53,424x = 13,809,070,144
  5. Step 5: Solve for x
    x = 13,809,070,144/53,424
  6. Step 6: Final answer
    x = 258,480.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.